A cylinder of radius r and weight W is at the intersection between a horizontal plane (the "floor") and an inclined plan

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A Cylinder Of Radius R And Weight W Is At The Intersection Between A Horizontal Plane The Floor And An Inclined Plan 1 (56.29 KiB) Viewed 53 times

A cylinder of radius r and weight W is at the intersection between a horizontal plane (the "floor") and an inclined plane that makes an angle with the horizontal. The cylinder is in contact with the floor at point A and with the inclined surface at point B. A vertical force P is applied at the left side of the cylinder. Let be the coefficient of static friction at both A and B, and let y be sufficiently large that the cylinder does not slip with respect to the contacting surfaces, but instead begins to roll up the incline when P is large enough. 1. Determine the minimum value of u that will ensure that the impending motion is rolling about B, not slipping at A and B. Express your answer in terms of W, r, and e. 2. Determine P when this rolling motion is impending. Express your answer in terms of W, r, and 0. 3. Determine the normal and frictional forces at both A and B when motion is impending. Again, express your answers in terms of W,r, and 0. P B. Ꮎ